The Tesla Roadster charger is not isolated between the AC line and battery pack. Tesla designed it this way this to increase charging efficiency. This also means that any capacitance in the charger (which is combined with the controller aka PEM) and battery pack to chassis ground affects the leakage current. The car was designed for the standard 20 mA leakage allowed in the NEC 625 spec, but it seems some *redacted* companies have decided to use the 5mA household GFI curent limit value instead. I'm sure it saved some money but it does cause problems with charging a Roadster and other EV conversions that run non-isolated chargers as well.
The Model S and X use separate isolated chargers and I expect they will not have ground fault issues.
From the horse's mouth: NEC 625:
Traditional Ground-Fault Circuit Interrupters (GFCIs) for 60 Hertz systems trip at 5 milliamperes
(mA) when they detect a possible ground-fault current. This trip level avoids electric shock that can
result in any harmful effects including the effects starting at 5 mA (immobility of body muscles,
respiratory arrest) and the effects that could occur at 20 mA (ventricular fibrillation). However, these
GFCIs cannot differentiate between possible hazardous ground currents and harmless transient
currents on the utility distribution system (typically not greater than 20 mA). Therefore, traditional
GFCIs are subject to “nuisance tripping” if a harmless transient current above 5 mA occurs.
4
To remedy the situation, the personnel protection systems for EVSE use ground or isolation
monitoring, a circuit interrupting device, and basic, double, or reinforced insulation. Product safety
standards developed by UL specify what combinations of these devices can be used to meet
personnel protection requirements. For example, basic insulation and a traditional GFCI that trips at
5 mA can be still be used, but “nuisance” tripping may be a problem as explained above. To avoid
nuisance tripping problems, a 20 mA tripping circuit interrupting device can be used in conjunction
with double or reinforced insulation. A 20 mA tripping circuit interrupter can be used with basic
insulation also, but a ground monitoring device must be used as well. These combinations are
applicable to 240 volt or smaller systems.